Given numbers are 506,764,125,933,816

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 506,764,125,933,816 is 1532902206000.

Find LCM of 506,764,125,933,816 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 253 x 191 x 125 x 311 x 68 = 1532902206000

Therefore, the lowest common multiple of 506,764,125,933,816 is 1532902206000.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

506 x 764 x 125 x 933 x 816 = 36789652944000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

506 : 1, 2, 11, 22, 23, 46, 253, 506

764 : 1, 2, 4, 191, 382, 764

125 : 1, 5, 25, 125

933 : 1, 3, 311, 933

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,764,125,933,816, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

764:2x 2x 191

125:5x 5x 5

933:3x 311

816:2x 2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 36789652944000/(1x24)

LCM = 36789652944000/24

LCM = 1532902206000

Thus, we can understand that the LCM of 506,764,125,933,816 is 1532902206000.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 609, 988, 862, 140, 491
• LCM of 296, 911, 468, 227, 575
• LCM of 727, 833, 649, 335, 638
• LCM of 153, 181, 158, 597, 801
• LCM of 983, 634, 856, 644, 358

1. What is the LCM of 506, 764, 125, 933, 816?

Answer: LCM of 506, 764, 125, 933, 816 is 1532902206000.

2. How to calculate the LCM of 506, 764, 125, 933, 816?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 506, 764, 125, 933, 816.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.